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Artículo
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
(Elsevier, 2018)
This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus test. Depending on the hypotheses made on ...
Artículo
On the controllability of the heat equation with nonlinear boundary Fourier conditions
(Elsevier, 2004-01-20)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary conditions of the form ∂y ∂n + f(y) = 0 and distributed controls, with support in a small set. We ...
Artículo
Recent results on the controllability of linear coupled parabolic problems: A survey
(American Institute of Mathematical Sciences, 2011-09)
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of ...
Artículo
On the controllability of parabolic systems with a nonlinear term involving the state and the gradient
(Society for Industrial and Applied Mathematics, 2002)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of RN with Dirichlet boundary conditions. We analyze the controllability problem ...
Ponencia
Artículo
A result concerning controllability for the Navier-Stokes equations
(Society for Industrial and Applied Mathematics, 1995-07)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes equations. Here, the control variable is the trace of the velocity field on a "small" part of the boundary. ...
Artículo
Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
(Elsevier, 2002-10-15)
This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider nonlinearities that behave superlinearly at infinity. We prove the existence of a control insensitizing ...
Ponencia
Sharp estimates of the one-dimensional boundary control cost for parabolic systems
(American Mathematical Society, 2020)
Artículo
On the boundary controllability of non-scalar parabolic systems
(Elsevier, 2009-07)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional linear parabolic equations are considered. We show that, with boundary controls, ...
Libro
Recent Advances in PDEs: Analysis, Numerics and Control. In Honor of Prof. Fernández-Cara's 60th Birthday
(Springer, 2018)
This book contains the main results of the talks given at the workshop “Recent Advances in PDEs: Analysis, Numerics and Control”, which took place in Sevilla (Spain) on January 25-27, 2017. The work comprises 12 contributions ...